The crossword solution for the term 'BLOW TO SMITHEREENS' is 'NUKE', which is a four-letter word. NUKE is a slang term for a nuclear weapon, which is an incredibly powerful explosive device that can cause massive destruction. When something is said to be 'blown to smithereens', it means that it has been completely destroyed by a powerful force. Therefore, the crossword solution of 'NUKE' is appropriate for this term.